Question

How do you multiply `(x-2)(x-6)=-4`?

Answer 1

`x=4`

Explanation:

`(x-2)(x-6)=-4`
Use the distributive property
`(x)(x)+(x)(-6)+(-2)(x)+(-2)(-6)=4`
`x^2 - 6x - 2x + 12=4`
`x^2 -8x + 12=4`
Subtract `color(red)(-4)` to both sides
`x^2 - 8x + 12 - color(red)((-4)=cancel(-4) cancelcolor(red)(-4)`
`x^2 - 8x + 16 = 0`
Now, we need to factorize the left side
`(x - 4)(x-4)=0`
Set factors equal to `0`
`x-4=0 or x-4=0`
`x = 0 + 4`
`x=4`